40285681248321 has 24 divisors (see below), whose sum is σ = 58208956884936. Its totient is φ = 26848570613760.

The previous prime is 40285681248287. The next prime is 40285681248361. The reversal of 40285681248321 is 12384218658204.

40285681248321 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 568 + 1 + 2 + 48 + 32 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30284780991921 + 10000900256400 = 5503161^2 + 3162420^2 .

It is not a de Polignac number, because 40285681248321 - 2⁷ = 40285681248193 is a prime.

It is a super-2 number, since 2×40285681248321² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40285681248361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405888261 + ... + 405987501.

It is an arithmetic number, because the mean of its divisors is an integer number (2425373203539).

Almost surely, 2^{40285681248321} is an apocalyptic number.

It is an amenable number.

40285681248321 is a deficient number, since it is larger than the sum of its proper divisors (17923275636615).

40285681248321 is a wasteful number, since it uses less digits than its factorization.

40285681248321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113153 (or 113150 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 40285681248321 in words is "forty trillion, two hundred eighty-five billion, six hundred eighty-one million, two hundred forty-eight thousand, three hundred twenty-one".